This carefully written textbook provides an accessible introduction to the representation
theory of algebras including representations of quivers. The book starts with basic topics on
algebras and modules covering fundamental results such as the Jordan-Hölder theorem on
composition series the Artin-Wedderburn theorem on the structure of semisimple algebras and
the Krull-Schmidt theorem on indecomposable modules. The authors then go on to study
representations of quivers in detail leading to a complete proof of Gabriel's celebrated
theorem characterizing the representation type of quivers in terms of Dynkin diagrams.
Requiring only introductory courses on linear algebra and groups rings and fields this
textbook is aimed at undergraduate students. With numerous examples illustrating abstract
concepts and including more than 200 exercises (with solutions to about a third of them) the
book provides an example-driven introduction suitable for self-study and use alongside lecture
courses.
